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1337398900 = 2252314379127
BaseRepresentation
bin100111110110111…
…0001011001110100
310110012112220101121
41033231301121310
510214333231100
6340413033324
745066463105
oct11755613164
93405486347
101337398900
11626a21652
12313a85844
131841008c6
14c98983ac
157c62b51a
hex4fb71674

1337398900 has 144 divisors (see below), whose sum is σ = 3128688640. Its totient is φ = 495331200.

The previous prime is 1337398897. The next prime is 1337398901. The reversal of 1337398900 is 98937331.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1337398901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10530637 + ... + 10530763.

Almost surely, 21337398900 is an apocalyptic number.

1337398900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1337398900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564344320).

1337398900 is an abundant number, since it is smaller than the sum of its proper divisors (1791289740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1337398900 is a wasteful number, since it uses less digits than its factorization.

1337398900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 43.

The square root of 1337398900 is about 36570.4648589541. The cubic root of 1337398900 is about 1101.7599649794.

The spelling of 1337398900 in words is "one billion, three hundred thirty-seven million, three hundred ninety-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 31 43 50 62 79 86 100 124 127 155 158 172 215 254 310 316 395 430 508 620 635 775 790 860 1075 1270 1333 1550 1580 1975 2150 2449 2540 2666 3100 3175 3397 3937 3950 4300 4898 5332 5461 6350 6665 6794 7874 7900 9796 10033 10922 12245 12700 13330 13588 15748 16985 19685 20066 21844 24490 26660 27305 33325 33970 39370 40132 48980 50165 54610 61225 66650 67940 78740 84925 98425 100330 105307 109220 122450 133300 136525 169291 169850 196850 200660 210614 244900 250825 273050 311023 338582 339700 393700 421228 431419 501650 526535 546100 622046 677164 846455 862838 1003300 1053070 1244092 1555115 1692910 1725676 2106140 2157095 2632675 3110230 3385820 4232275 4314190 5265350 6220460 7775575 8464550 8628380 10530700 10785475 13373989 15551150 16929100 21570950 26747978 31102300 43141900 53495956 66869945 133739890 267479780 334349725 668699450 1337398900